Never be afraid to ask a question. Sometimes we refer back to the first post as a learning experience, so maybe you can learn better to do this yourself, but no question is stupid. We all have to start somewhere and it sounds like you are trying to understand.
The charts are not all-inclusive either. In the charts, every rooster on the left will make a sex link with every hen on the right. There are too many color/patterns and breeds to include all of them worldwide. Plus some hens will make a sex link with some roosters but not all hens or roosters in the list so you can’t list them. For example a Delaware hen has both silver and barring. If you cross a Delaware hen to a red rooster you will get a red sex link so you can list her in the red sex link chart. But if you cross her with a black rooster the gold/silver is hidden in the black down but you will get a black sex link. Since all the roosters in the black sex link chart or not black, you cannot list the Delaware hen.
There are two requirements to getting a sex linked chick. First the parents have to be set up genetically so he hen has a dominant sex linked trait and the rooster is pure for the recessive side of that trait. Since the hen only gives her sex linked genes to her sons, the males get the dominant gene. The rooster gives all his offspring the recessive trait.
The next part is that you need to see that trait at hatch. This is often the hard one. In the case of the black sex link, you need to see the spot on the heads. With different down colors and patterns that’s not always possible even if the barring gene is set up right. If the down is mostly light colored it can easily mask the spot.
You don’t actually need the chick to be black for it to be a black sex link. It’s possible to have a blue or red chick and still see the spot. But black usually works so well that black is usually used. Black roosters are usually great to use to make black sex links. But there are different ways to make black so that’s not always a given either.
Assuming your bantam hen is black barred and with the red rooster not barred you have a real good chance to make a black sex link. But there are no guarantees. Is the hen actually pure for black or is she possibly split for black with something else? Will your red rooster’s genetic make-up mess up the down pattern to the extent that you can’t see the spot, especially when mixed with whatever the hen has?
It sounds like your bantams might be crosses. That doesn’t mean it won’t work, just that it is a little less likely. The only way to find out is to try.